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Finding the Third Proportional to 468,144.75 and 707,136.75

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Solution

The third proportional to 468,144.75 and 707,136.75 is: 1,068,136.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,144.75 : 707,136.75 = 707,136.75 : x
  2. Step 2: Convert to fraction form
    468,144.75/707,136.75 = 707,136.75/x
  3. Step 3: Cross multiply
    468,144.75x = 707,136.75 × 707,136.75
  4. Step 4: Simplify right side
    468,144.75x = 500,042,383,200.56
  5. Step 5: Solve for x
    x = 500,042,383,200.56/468,144.75
  6. Step 6: Final answer
    x = 1,068,136.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.